Girls whirlwind trip in May to France, Italy, Austria, and Switzerland. From Salzburg we are going to Zurich on May 30 for flight home on May 31. Our train to Zurich should arrive around 1:20 p.m. Hotel is just a few minutes from train station, so checking in should be completed by around 2 p.m. We would love to go down to Lucerne and go up on one of the mountains in the area ... primarily for panoramic view of Lucerne and the lake. BUT...I am not sure if we will have enough time given our arrival time into Zurich. Would welcome thoughts and suggestions if this is possible and which mountain would be best taking into account time constraints. Thanks so much.